Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (–2, 2)? Check all that apply.

(–2, –5) and (–7, –3)
(–1, 1) and (–6, –1)
(0, 0) and (2, 5)
(1, 0) and (6, 2)
(3, 0) and (8, 2)

So, on solving the question we can say that the equation formed is - 6500 = 15x - 30y x = 433.3333333333

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

the equation formed is -

6500 = 15x - 30y

y = 0

x = 6500/15

x = 433.3333333333

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Answer:

First let the length be a variable (eg: x) so that we can form an expression and solve.

Let the length of the rectangle be x units.

Form an expression for the width of the rectangle using the information given.

Width = (x - 3) units

Area of rectangle = length x width

Using the formula, form an equation.

x(x - 3) = 18

Simplify and solve for x.

x² - 3x = 18

x² - 3x - 18 = 0

(x - 6)(x + 3) = 0

x - 6 = 0 or x + 3 = 0

x = 6 or x = - 3 (reject)

The length cannot have a negative value so reject - 3.

Hence, the length of the rectangle is 6 units.

Answer:

330

Step-by-step explanation:

heart = 110, and the problem is asking the value of 3 hearts. 3 x 110 = 330

Answer:

d: 330

Step-by-step explanation:

spade  = heart*2

spade-heart = 110

substitute spade into spade:

2*heart-heart = 110

heart = 110

So,

heart = 110

and,

spade = 2*heart = 2*110 = 220

so spade+heart = 220 + 110 = 330

also, please mark me as brainliest.

The confidence interval for the difference in average lifespan between the two groups of children (-43, 9) years includes 0, which means that we cannot conclude with confidence that there is a significant difference between the two groups.

Since the confidence interval includes negative values, we cannot even conclude that the garlic pills were beneficial in prolonging the life of the children. It is possible that the garlic pills had no effect or even a harmful effect on the lifespan of the children.

Therefore, based on this information, we cannot conclude that garlic pills are effective in prolonging the life of children with deliops disease. Further research would be needed to determine whether garlic pills have any beneficial effects on the lifespan of these children.

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Answer:

50000000 HAIII OK YA IS WRONG BYY GL

Step-by-step explanation:

Answer/Step-by-step explanation:

A. constant rate is y = 2x

(Since it goes up by 2 and over one)

B. unit rate is 2 dollars per pound

C. y = 2 (10)

y = 20

$20 per 10 pounds of pears

Hope this helps :)

Answer:

\(v = \frac{28m}{5}\)

Step-by-step explanation:

The meaning behind the constant of k = 28/5 is that it says that 1 gram of helium takes up 28/5 = 5.6 liters of space, and each time you increase the mass by 1 gram, the space increases by 5.6 also

3 more points:

- V1 = 28/5 * 10 = 56 liters

- v2 = 28/5 * 15 = 84

- V3 = 28/5 * 20 = 112

To determine how much you will gain from buying one March contract and selling one June contract, you need to calculate the difference in prices based on the gold futures contract table.

You will gain the difference between the prices of the March and June contracts. If March is at $400 and June is at $430, you'll gain $30 from these transactions ($430 - $400 = $30).

Follow these steps to calculate the gain from the transactions:

1. Locate the prices for the March and June contracts in the gold futures contract table. In this example, the March contract is priced at $400 and the June contract is priced at $430.

2. Calculate the difference in prices between the two contracts. Subtract the March contract price from the June contract price: $430 - $400 = $30.

3. The result from Step 2 represents the gain from buying one March contract and selling one June contract. In this example, you will gain $30 from the transactions.

It's important to note that this calculation does not account for any transaction fees or other costs associated with trading futures contracts. Additionally, gains and losses in futures trading can be amplified due to the use of leverage, so it's essential to consider risk management when trading futures.

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Answer:

$8000

Step-by-step explanation:

\(I=PRT\) (I = interest, p = principal, r = interest rate, t = time. This only applies to simple interest)

\(I=\$50000\times3.2\%\times5\) (assuming that it is \(3.2\%\) p.a)

\(I=\$8000\)

∴ The interest owed is $8000.

Hope this helps :)

According to the central limit theorem for sums, if you keep taking sums from bigger and bigger samples, the sums will eventually form their own normal distribution (the sampling distribution), which will become more similar to a normal distribution as the sample size grows.

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Answer:

b

Step-by-step explanation:

used a calucator

Answer:

15 - 7 = 8

Step-by-step explanation:

8 + 7 = 15?

Answer:

15 - 7 = 8

8 + 7 = 15

the correct sample space for the gumball in her bag is option (D) Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive

Given, Julia had a bag filled with gumballs. There were 1 lemon-lime, 2 watermelon, and 3 grape gumballs.

The number of lemon limes in the bag = 2 lemon-lime

Number of watermelons in the bag = 3 watermelon

Number of grape gumballs in the bag = 5 grape gumball

Sample space is the set of all the possible outcomes of the experiment

Here there are 2 lemon-lime, 3 watermelons, and 5 grape gumball

Hence, if Julia had a bag filled with gumballs and there were 2 lemon-lime, 3 watermelon, and 5 grape gumballs, then the correct sample space for the gumball in her bag is an option (D) Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape

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watermelon,lemon lime,lemon lime,grape,grape,grape

13) The scientific notation is        1.4354125 * 10⁸. 14) The scientific notation is        1.4354125 * 10⁻¹. 15) The scientific notation is 22366.0992. 16) The scientific notation is 1.55 * 10¹⁰.

Let's solve the given expressions and write the answers in scientific notation:

13) \((6.125*10^3) * (2.345*10^4)\)

To multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:

\((6.125 * 2.345) * (10^3 * 10^4) = 14.354125 * 10^(3 + 4) = 14.354125 * 10^7 = 1.4354125 * 10^8\)

\(= 1.4354125 * 10^8\)

14) \((6.1258*10^3) * (2.345*10^{-4})\)

To multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:

\((6.125 * 2.345) * (10^3 * 10^{-4}) = 14.354125 * 10^{3 - 4} = 14.354125 * 10^{-1} = 1.43541258* 10^{-1}\)

\(= 1.4354125 * 10^{-1}\)

15) \(3700.13 * (6.04*10^4)\)

To multiply a decimal number and a number in scientific notation, we simply multiply the decimal by the coefficient of the scientific notation:

3700.13 × 6.04 = 22366.0992

Since the answer does not need to be expressed in scientific notation, the result is 22366.0992.

= 22366.0992

16) \((6.2*10^4) / (0.4*10^{-5})\)

To divide numbers in scientific notation, we divide the coefficients and subtract the exponents:

\((6.2 / 0.4) * (10^4 / 10^{-5}) \\= 15.5 * 10^{4 - (-5}) \\= 15.5 * 10^9 \\= 1.55 * 10^{10}\\= 1.55 * 10^{10}\)

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Answer:

x=12

Step-by-step explanation:

plug in 12 to x and results will make sense

Answer:

C. 1/√2

Step-by-step explanation:

cos∅ is adjacent over hypotenuse:

cos45° = 1/√2

cos45° = √2/2

Alternatively, if you learned and memorized your unit circle, cos(π/2) = √2/2

Answer:

C.

Step-by-step explanation:

Using the hsd test qcrit = 3.65  

HSD testis used to check differences among sample way for significance. The Tukey's HSD assessments all pairwise variations at the same time as controlling the probability of making one or greater type I errors.

A Tukey-Kramer test lets us check the null speculation of no distinction between the population approach for all pairs of businesses. The Tukey-Kramer check (also known as a Tukey sincere importance test, or Tukey HSD), is carried out in R inside the function.

solution

given;

   using HSD test, the degree of freedom = 16

                                                         and α=0. 05

                                                         groups = 3

                         Hence,                    Qcrit = 3.65    {using HSD table}

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The system of equations is consistent and has a unique solution at (-4, 1).

To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.

The given system of equations is:

1) 3x + y = -3

2) 6x - 6y = -30

Let's graph these equations:

For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.

For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.

Now, let's plot these lines on a graph:

The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).

The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).

Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).

Now, let's analyze the system:

Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).

In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.

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Answer:

A byte is 8 bits.

The rate of change of the area when the radius is 2 centimeters is approximately 100.5 square centimeters per minute.

To find the rate of change of the area of a circle when the radius is 2 centimeters, we need to use the formula for the area of a circle, which is \(A = πr^2.\)

We know that the radius is increasing at a rate of 8 centimeters per minute, so we can use this information to find the rate of change of the area.

We can start by finding the area of the circle when the radius is 2 centimeters. Substituting r = 2 into the formula, we get:

A = π(2)^2
A = 4π

So the area of the circle is 4π square centimeters when the radius is 2 centimeters.

Now, let's find the derivative of the area with respect to time. Using the power rule of differentiation, we get:

dA/dt = 2πr (dr/dt)

Substituting r = 2 and dr/dt = 8, we get:

dA/dt = 2π(2)(8)
dA/dt = 32π

So the rate of change of the area when the radius is 2 centimeters is 32π square centimeters per minute. To round this to one decimal place, we can use a calculator to get:

dA/dt ≈ 100.5

Therefore, the rate of change of the area when the radius is 2 centimeters is approximately 100.5 square centimeters per minute.

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An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.

In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.

For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:

H₀: p = 10.

Ha: p < 10.

In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.

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The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

6

Step-by-step explanation:

I made 2.4 a fraction got 5/2 then did 16 divided by 5/2 and got 6.4 so for the amount of whole pancakes it would be 6 with .4 ounces of flour left over

Answer:

1 is True 2 is False 3 is False 4 is True 5 is False

Step-by-step explanation:

Answer:44

Step-by-step explanation:

Answer:

4 - log3 (2)

Step-by-step explanation:

2log3 (9) = log3 (9^2)

log3 (27 * 9^2 / 54)

log3 ( 3^3 * 3^4 / 9 * 6)

log3 (3^7 / 3^2 * 3 * 2)

log3 (3^7 / 3^3 * 2)

log3 ( 3^4 /2)

log3 (3^4) - log3 (2)

4 - log3 (2)

1) The statement of Lin is correct.

2) (a) When scale factor, k = 9, area of the new triangle = 8100 square inches

(b) When k = 3/4, area of the new triangle = 56.25 square inches.

Given that,

A triangle has area 100 square inches.

It's dilated by a factor of k = 0.25.

When the triangle is dilated by a scale factor of k, then, each of the base and height is dilated by the scale factor of k.

So new area of the triangle after the dilation with the original triangle having base = b and height = h is,

Area of new triangle = 1/2 (kb)(kh) = k² (1/2 bh) = k² × Area of original triangle

Here original area = 100 square inches.

k = 0.25

New area = (0.25)² 100 = 6.25 square inches

So the correct statement is that of Lin.

Mai may found the new area by just multiplying the scale factor with 100, instead of taking the square of the scale factor. That is why she got 25 square inches as the new area.

2) (a) When k = 9,

Area of the new triangle = 9² (100) = 8100 square inches

(b) When k = 3/4

Area of the new triangle = (3/4)² (100) = 56.25 square inches

Hence the areas are found.

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The net change in the company's stock price over the four days is $0.3.

What is Algebraic sum?

The term 'algebraic sum' simply means that we add the quantities, taking account of their signs. This is in contrast to the arithmetic sum where the signs would be ignored.

We know, increment is denoted by "+" and decrement is denoted by "-".

So the net change over four days will be the algebraic sum of,

Net change = Day 1 + Day 2 + Day 3 + Day 4

Net change = 3.50 + (-3.70) + 3.30 (-3.40)

Net change = 6.80 - 7.10

So we get,

Net change = -0.30 $

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Answer:

62 degrees

Step-by-step explanation:

the total angle of a straight line like this hypotenuse would be 180. So it's 180-118=62

The specific economic data is needed to calculate the average annual economic growth rate in Singapore from 1957 to 1979. Without the actual values, it is not possible to provide an accurate answer.

To calculate the average annual economic growth rate, we need to determine the compound annual growth rate (CAGR) over the given period. CAGR represents the rate of return required for an investment to grow from the initial value to the final value over a specified time period.

The formula to calculate CAGR is:

\(CAGR = (Ending Value / Beginning Value) ^ (^1^ /^ N^u^m^b^e^r ^o^f ^Y^e^a^r^s^)^ -^ 1\)

In this case, the beginning value corresponds to the economic situation in 1957, and the ending value corresponds to the economic situation in 1979. The number of years is 22.

By plugging in the appropriate values into the formula and solving for CAGR, we can find the average annual economic growth rate.

Please note that without specific data for the beginning and ending values, it is not possible to provide an accurate answer. The actual economic data is required to calculate the CAGR and determine the average annual growth rate.

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